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What is Autoregressive Integrated Moving Average (ARIMA)

Open Source Software for Statistical Analysis of Big Data: Emerging Research and Opportunities
A time series model that combines the differenced autoregressive model and the moving average model.
Published in Chapter:
A Comparison of Machine Learning Algorithms of Big Data for Time Series Forecasting Using Python
Son Nguyen (Bryant University, USA) and Anthony Park (Bryant University, USA)
DOI: 10.4018/978-1-7998-2768-9.ch007
Abstract
This chapter compares the performances of multiple Big Data techniques applied for time series forecasting and traditional time series models on three Big Data sets. The traditional time series models, Autoregressive Integrated Moving Average (ARIMA), and exponential smoothing models are used as the baseline models against Big Data analysis methods in the machine learning. These Big Data techniques include regression trees, Support Vector Machines (SVM), Multilayer Perceptrons (MLP), Recurrent Neural Networks (RNN), and long short-term memory neural networks (LSTM). Across three time series data sets used (unemployment rate, bike rentals, and transportation), this study finds that LSTM neural networks performed the best. In conclusion, this study points out that Big Data machine learning algorithms applied in time series can outperform traditional time series models. The computations in this work are done by Python, one of the most popular open-sourced platforms for data science and Big Data analysis.
Full Text Chapter Download: US $37.50 Add to Cart
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Continuous ACO in a SVR Traffic Forecasting Model
A generalization of an autoregressive moving average (ARMA) model. These models are fitted to time series data either to better understand the data or to predict future points in the series. The model is generally referred to as an ARIMA(p,d,q) model where p, d, and q are integers greater than or equal to zero and refer to the order of the autoregressive, integrated, and moving average parts of the model respectively.
Full Text Chapter Download: US $37.50 Add to Cart
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